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nata0808 [166]
3 years ago
6

Is 3(x+x+y) equivalent to 3x+3(x+y)

Mathematics
2 answers:
mote1985 [20]3 years ago
8 0

Answer:

yes

Step-by-step explanation:

charle [14.2K]3 years ago
4 0

Answer:

Yes.

Step-by-step explanation:

Step 1: Distribute 1st equation

3x + 3x + 3y

Step 2: Combine like terms

6x + 3y

Step 3: Distribute 2nd equation

3x + 3x + 3y

Step 4: Combine like terms

6x + 3y

We see here that 6x + 3y = 6x + 3y. Therefore, they are equivalent.

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Answer:

1. 2(x+2)(x+5)

2. 8(x+4)^{2}

Step-by-step explanation:

<u>Problem #1:</u>

1. Find the GCF (Greatest Common Factor)

GCF = 2

2. Factor out the GCF and simplify.

2(x^{2} +7x+10)

3. Factor x^{2} +7x+10

<u>Which two numbers add up to 7 and multiply to 10?</u>

2 and 5

<u>Rewrite the expression using the above.</u>

(x+2)(x+5)

4. Done!

2(x+2)(x+5)

<u>Problem #2:</u>

1. Find the GCF (Greatest Common Factor)

GCF=8

2. Factor out the GCF and simplify.

8(x^{2} +8x+16)

3. Use the perfect square formula. a^{2} +2ab+b^{2} =(a+b)^{2}

a = x\\b=4

(x+4)^{2}

4. Done!

8(x+4)^{2}

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